6th Grade Math Textbook, Fundamentals

1.Evaluate each expression. 6^2 ; 9^3 ; 24^1 ; 10^1

2.Evaluate each expression. 2^2 • 2^1 ; 10^2 • 3^2 ;

(6^1 )(2^3 ); (3^1 )(5^3 ); (1^1 )(10^3 );

3.Multiply 3 8; 3 80; 3 800; 3 8,000;

3 80,000; 3 800,000; 3 8,000,000

4.Multiply 5 9; 3 9.01; 5 90.1; 3 900.1;

5 9,000.1; 5 90.001; 5 9,000,000

5.Write the answer in scientific notation. 3(4  103 );

2(5.5   101 ); 3(2.2    102 ); (1.5     100 )(1.2)

6.Multiply by 10^2 : 45, 59, 0.4, 0.05, 0.24, 0.651

7. Find the GCF of 24 and: 4, 12, 8, 48, 16, 32, 27
   8.Tell the GCF for each pair: 12 and 18; 36 and 24;
   20 and 32; 18 and 27; 36 and 63; 11 and 22


8. The difference between two numbers is 6. If the
   greater number is 15, what is the other number?


9. Tell the equivalent fraction that has a denominator
   of 10 0: , , , , ,


10. Tell the equivalent fraction that has a denominator
    of 10 0 0: , , , , ,


11. Dividing a number by 9 is equivalent to multiplying
    it by what number?


12. There are 31classes with 24 students in each class.
    Estimate to the nearest hundred the total number
    of students.


13. Dividing a number by 2 is the same as multiplying
    it by what number?

1

5

1

100

1

50

1

10

4

25

9

20

3

10

7 ^2

7 ^1

1

8

1

2

2

5

1

4

1

2

1

2

SET 9............................................................................................................

1.Multiply by 40: 10, 1,000, 100, 20, 40, 120

2.Multiply. 6; 5; 12; 7 ; 8; 5;

3; 9 ; 6

3.Find the sum.  ; (); ;  ;

()

4.Find the difference.  ;  ;  ; ();

 ;  ; ()

5.Change to mixed numbers: , , , , , , ,

, , , ,

6.Tell which are prime numbers: 7, 11, 14, 18, 19

23, 27, 33, 37, 41, 49, 51, 53, 56, 59, 63, 65

7. Name the next five composite numbers: 4,...
   8. What fraction subtracted from 2 equals?
   9. What fraction represents more than the original
   whole? What fraction represents less than the
   original whole?


8. How much greater than 1 is ?


9. Multiply by 6: , , , , 1 , 2


10. Find the missing number. Name the property used.
    6 b0; 7 xx7; 9 n9; 36x36;
    (7 8)  3  7 (n3)


11. What is 7 more than 3 30? 9 more than 88 8?


12. Tell the number named by the following: 6^2 , 1^2 , 4^2 ,
    22 , 7^2 , 5^2 , 10^2 , 8^2 , 3^2 , 9^2 , 10^3 , 10^4


13. Multiply each by 10, 100 and 1000: 0.1, 0.01, 0.001,
    0.41, 0.041, 0.05, 0.005, 0.055

1

12

1

6

1

6

1

2

1

6

1

3

7

8

3

4

1

3

1

3

1

5

 2

 9 7

10

 2

5

 7

15

 1

5

 1

5

37

7

81

8

70

8

64

9

54

5

27

7

15

4

49

6

40

9

18

7

30

8

24

7

9

12

3

10

7

13

1

26

7

49

9

48

11

24

15

30

7

8

1

8

1

6

3

7

4

5

1

3

1

2

6

4 7

5

4

7

3

4

2

3

1

7

1

5

1

2

5

7

3

6

4

5

2

3

SET 10..........................................................................................................

1.Dividing a number by 2.5 is the same as multiplying

it by what number?

2.Which is less, the sum of 0.5 and 1.2 or the product

of 0.5 and 1.2?

3.Multiply 8 by: , , , , ,

4.Tell whether the fraction is closer to 1,  , or 0.

, ,  ,  , , 

5.Replace the xwith a number so that the fraction is a

little less than. ; ; ; ;

6. Which is the greatest: , , ,?
   7. Which is the least: , ,?


7. If 30 items cost $4563, how much is 1 item?
   $1521 or $152.10 or $15.21


8. What are the prime factors of 24?


9. The difference between two numbers is 10. If the
   lesser number is 10, what is the greater number?


10. What is the greatest possible remainder when
    x dividing by 3: 5, 6, 8, 11, 15, 20, 100?
    25

9

9

90

100

9

100

50

100

4

8

20

50

9

10

1

2

22

x

x

60

36

x

x

12

7

15

3

18

65

70

30

55

6

7

2

9

1

2

5

8

3

8

1

8

3

4

1

4

1

2

SET 11...........................................................................................................

1.Evaluate the expressions. Use order of operations.

(1 8) (6 3); 12 (14 2) 4; 9 (6 6);

(9 7)  12 (0 5); (10  2     8 6)  3

2.Evaluate when a4 and b6. 3. (ab);

2(a b)

3.Solve:  ;  ;  ;  ;  ;

 ; 

4.Solve: 

5. A concert attracted 450 adults. If there were 100
   more men than women, how many men were there?


6. A school team won 15 out of 20 games. Express this
   as a ratio.


7. What is the least number represented by four digits
   that are all alike and even?


8. Simplify. (0.04)^2 • 5; (2 • 3.5) (1.6 2)
   x
   12

x

21

x

27

x

15

x

6

x

9

2

3

4

n

2

7

3

5

5

9

n

8

5

6

n

18

3

10

7

49

35

n

49

56

n

45

n

20

n

100

SET 12..........................................................................................................

Mental Math 419